The equation of a circle is given as:
(x-a)^2 + (y- b)^2 = r^2 where (a, b) is the center.
(x-9)^2 = x^2 -18x + 81 - ----(i)
(y+2)^2 =y^2 + 4y +4 ------ (ii)
r^2 = 49 ------ (iii)
Adding equation (i) and (iii)
x^2 + y^2 - 18x + 4y + 85 -----(iv)
Equating equation (iv) and (iii)
<span>x^2 + y^2 - 18x + 4y + 85 = 49
Arrange the equation:
</span> <span>x^2 + y^2 - 18x + 4y + 36 = 0
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I hope this helps
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Connor has 14 quarters and 28 dimes.
Step-by-step explanation:
Given,
Worth of coins = $6.30 = 6.30*100 = 630 cents
We know that,
1 quarter = 25 cents
1 dime = 10 cents
Let,
Quarter = x
Dime = y
According to given statement;
25x+10y=630 Eqn 1
The number of dimes is 14 more than the number of quarters
y = x+14 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 35
Putting x=14 in Eqn 2
Connor has 14 quarters and 28 dimes.
Keywords: linear equation, substitution method
Learn more about substitution method at:
#LearnwithBrainly
Answer:
1) x = 25 2) x = 23; m∠CBD = 80 degrees
Step-by-step explanation:
1) 5x + 15 = 6x - 10 Set both equations equal to each other
- 5x - 5x Subtract 5x from both sides
15 = x - 10
+ 10 + 10 Add 10 to both sides
25 = x
2) 2x + 14 + x + 7 = 90 Set the equations equal to 90
3x + 21 = 90 Combine like terms
- 21 - 21 Subtract 21 on both sides
3x = 69 Divide both sides by 3
x = 23
Plug 23 into the equation
2(23) + 14 = 60
Answer:
21
Step-by-step explanation:
1/3= 0.33
7/0.33
Answer:
Length of prism = 17.5 in
Step-by-step explanation:
Given:
Width = 16 in
Height = = 3.75 in
Volume of rectangular prism = 1,050 inches
Find:
Length of prism
Computation:
Volume of rectangular prism = WHL
1,050 = Length of prism × 16 × 3.75
Length of prism = 17.5 in
